To date, the print newspaper’s relationship with the Internet has been a little bit like Dr. Jekyl’s learning to live with Mr. Hyde: On the one hand, enormously powerful; but on the other, quite difficult to control, and pretty easy to have turn against you. And in recent years, the traditional newspaper has more often than not found itself on the receiving end of Mr. Hyde’s more destructive side.

The popular way of fighting back for larger newspapers and print magazines, if they have the  brand recognition and readership base required to support it, has been to launch a so-called “paywall” – basically a digital subscription – for their online content. Wall Street Journal, The Times of London, Wired, The New York Times - they’ve all got a paywall of some design erected around their Web content now.

In the main, all of these paywalls have been examples of the newspaper and magazine companies trying to apply their print business model to the digital age. Very few, with the possible exception of The Daily, have tried to really break the mold and do something completely different.

Yesterday, however, The New York Times launched a new section of their website, called beta620 (the 620 refers to their headquarters’ building number in Manhattan, NY), which appears to approach the idea of the newspaper in 21st century from a truly fresh perspective.

As GigaOm noted, the site itself has the feel of a startup, “with the lower-case beta620 label, and a series of quirky images that identify the different projects underway at the NYT.” And, indeed, it does have somewhat of the same goal in mind. The projects underway are explained quickly, and the lead developer of the project is given direct credit for the idea right on the page. Additionally, at least for the time being, all the apps on the site are free to try out – much like the give-it-away-free-at-first-to-get-them-hooked strategy of many Internet and social startups.

The new site is a great attempt by the newspaper company to actually innovate and move the industry’s model forward. In my humble opinion, I find some of the ideas on there very cool, especially the Longitude app, which shows news stories’ geographical origin and spread overlaid on Google Maps; and Buzz, which puts a “filter” over the normal NYT.com site appearance to show the extent to which each story is being shared and generating “buzz” across various social networking platforms.

Of course, we have no way of knowing if this new startup-like path is the future for newspapers. But, for my money, it seems like a good idea, and at least they are trying something new. I’m certainly interested. And that’s really the point.